A fragmentation model with neighborhood interaction

G. Hernandez, R. Leon, Luis Salinas, Eric Dimnet

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Several models of fragmentation have been studied that suppose random fracture forces. In this article, we did a numerical study on a dynamic model for fragmentation in which the fracture forces are generated by neighboring fragments and are proportional to the size of the common boundary between two fragments. The following assumptions were also considered: the material defects are represented by a random distribution of point flaws; the total mass is conserved; and the iterative fracture of each fragment is randomly stopped by a condition that considers a constant probability and a minimal fragment size. The motivation for this model was to determine under what circumstances a continuous fragmentation model with fracture forces defined by the neighbors' interaction produces results that are in agreement with the experimental evidence. The main result of this work establishes that the fragment size distribution follows a power-law for fragments of greater area than the minimal fragment size m fs. The visualizations present complex fracture patterns that resemble real systems.

Original languageEnglish
Pages (from-to)1694-1702
Number of pages9
JournalApplied Mathematical Modelling
Issue number4
Publication statusPublished - Apr 2012


  • Fragmentation model
  • Large-scale simulations
  • Neighborhood interaction
  • Power-law behaviour

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation


Dive into the research topics of 'A fragmentation model with neighborhood interaction'. Together they form a unique fingerprint.

Cite this